College A and College B made it to the state championship
which was held at a large sporting arena far away from both
institutions.
To travel to the arena, College A rented and filled 8 vans and 8
buses with 240 students. College B rented and filled 4 vans
and 1 bus with 54 students. Every van and bus had the same
number of students in.
Let x be the number of students in each van and y be the
number of students in each bus. Find the number of students in
each van and each bus. Write your answer as an ordered pair
(x,y).

The number of students in vans and bus are (8,22)

Step-by-step explanation:

Let the number of students in the van be “x”

Let the number of students in the bus be “y”

It is given that each bus and van have same number of students.

For college A-

8 vans and 8 bus were rented to ferry 240 students

No of students in 8 bus= 8y (since y students were in each bus)

No of students in 8 van= 8x (since x students were in each van)

Hence 8x+8y=240 cancelling the equation with common factor 8, the equation becomes    ⇒ x+ y=30

For College B

4 vans and 1 bus were rented to ferry 54 students

No of students in 1 bus= 1y (since y students were in each bus)

No of students in 4 van= 4x (since x students were in each van)

4x+y=54

Comparing the both equation we get and subtracting equation 2 from 1

x+y-30-4x-y-54=0  ∵ Cancelling y  

-3x=-24

∴ x=8 putting the value of x in equation 1 we get y as 22

Thus the answer is (8,22)  

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give, never gonna give

(Give you up)

(Ooh) Never gonna give, never gonna give

(Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just wanna tell you how I'm feeling

Gotta make you understand

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Step-by-step explanation: